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Finding the Third Proportional to 2,049,075 and 3,292,312.50

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Solution

The third proportional to 2,049,075 and 3,292,312.50 is: 5,289,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,075 : 3,292,312.50 = 3,292,312.50 : x
  2. Step 2: Convert to fraction form
    2,049,075/3,292,312.50 = 3,292,312.50/x
  3. Step 3: Cross multiply
    2,049,075x = 3,292,312.50 × 3,292,312.50
  4. Step 4: Simplify right side
    2,049,075x = 10,839,321,597,656.25
  5. Step 5: Solve for x
    x = 10,839,321,597,656.25/2,049,075
  6. Step 6: Final answer
    x = 5,289,860.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.